2(x+9)=10x-2

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Solution for 2(x+9)=10x-2 equation:


Simplifying
2(x + 9) = 10x + -2

Reorder the terms:
2(9 + x) = 10x + -2
(9 * 2 + x * 2) = 10x + -2
(18 + 2x) = 10x + -2

Reorder the terms:
18 + 2x = -2 + 10x

Solving
18 + 2x = -2 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
18 + 2x + -10x = -2 + 10x + -10x

Combine like terms: 2x + -10x = -8x
18 + -8x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -8x = -2 + 0
18 + -8x = -2

Add '-18' to each side of the equation.
18 + -18 + -8x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -2 + -18
-8x = -2 + -18

Combine like terms: -2 + -18 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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